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The only Linux distro I know of that comes with Chrome as the browser is Chrome OS Linux. This is not to be confused with Chronium OS from Google. This is a distro that comes with Chrome as the browser.

I don't know of any distro that comes with Chrome by default. However, there are a few distros that allow you to select packages to include in your liveCD on the website and then allow you to download your custom liveCD.